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What is Infinity+Pi*I


I am using Mathematica 4.1, but I suspect all versions do the same in this
case.

In[1]:=
     Infinity + Pi * I

Out[1]=
     Infinity


I think it the input above should return itself.
Am I wrong here? If we do it my way the following would return
   -Infinity. (*Negative Infinity*)


In[1]:=
      E^( Infinity + Pi * I )

Out[1]=
      Infinity


Either way it's an interesting example.

-------
   Regards,
      Ted Ersek


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